Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24505a |
Isogeny class |
Conductor |
24505 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1293165676040485 = 5 · 139 · 293 |
Discriminant |
Eigenvalues |
0 1 5+ 1 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-44841,-3234305] |
[a1,a2,a3,a4,a6] |
Generators |
[-74187:389096:729] |
Generators of the group modulo torsion |
j |
2065851744256/267913165 |
j-invariant |
L |
4.5441654902774 |
L(r)(E,1)/r! |
Ω |
0.33088485330452 |
Real period |
R |
6.8666870739097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122525b2 1885e2 |
Quadratic twists by: 5 13 |